Consider the following listed old/new mpg ratings.

Old mpg              New mpg

16                                15
27                                24
17                                15
33                                29
28                                25
24                                22
18                                16
22                                20
20                                18
29                                26
21                                19

a) Using the listed old/new mpg ratings, find the best predicted new mpg
rating for a car with an old rating of 30 mpg.
b) What is the correlation coefficient r and what is the coefficient of
determination r squared?
c) What is the proportion of variability of the New car mpg ratings explained by the old mpg ratings based on the above data.